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"a1", "group": "mult+pl", "definition": "random(-10..10 except 0)", "description": "", "templateType": "anything", "can_override": false}, "b1": {"name": "b1", "group": "mult+pl", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}, "c1": {"name": "c1", "group": "mult+pl", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}, "a2": {"name": "a2", "group": "min+mult", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}, "b2": {"name": "b2", "group": "min+mult", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}, "c2": {"name": "c2", "group": "min+mult", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}, "a3": {"name": "a3", "group": "pl", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}, "b3": 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"can_override": false}, "b9": {"name": "b9", "group": "Par(mult+pot+min+div)", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "c9": {"name": "c9", "group": "Par(mult+pot+min+div)", "definition": "random(2..3)", "description": "", "templateType": "anything", "can_override": false}, "d9": {"name": "d9", "group": "Par(mult+pot+min+div)", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "e9": {"name": "e9", "group": "Par(mult+pot+min+div)", "definition": "random(2..4)", "description": "", "templateType": "anything", "can_override": false}, "f9": {"name": "f9", "group": "Par(mult+pot+min+div)", "definition": "d9^random(1..2)", "description": "", "templateType": "anything", "can_override": false}, "a10": {"name": "a10", "group": "Par(pot+min+mult+pl)", "definition": "random(1..3)", "description": "", "templateType": "anything", "can_override": false}, "b10": {"name": "b10", "group": "Par(pot+min+mult+pl)", "definition": "random(0..3)", "description": "", "templateType": "anything", "can_override": false}, "c10": {"name": "c10", "group": "Par(pot+min+mult+pl)", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "d10": {"name": "d10", "group": "Par(pot+min+mult+pl)", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}, "e10": {"name": "e10", "group": "Par(pot+min+mult+pl)", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}, "f10": {"name": "f10", "group": "Par(pot+min+mult+pl)", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "mult+pl", "variables": ["a1", "b1", "c1"]}, {"name": "min+mult", "variables": ["a2", "b2", "c2"]}, {"name": "pl", "variables": ["a3", "b3"]}, {"name": "min", "variables": ["a4", "b4"]}, {"name": "div+pl+min+mult", "variables": ["a5", "b5", "c5", "d5", "e5"]}, {"name": "Par(pl+mult)", "variables": ["a6", "b6", "c6"]}, {"name": "Par(mult+min+pot)", "variables": ["a7", "b7", "c7", "d7"]}, {"name": "Par(mult+pl+min)", "variables": ["a8", "b8", "c8", "d8"]}, {"name": "Par(mult+pot+min+div)", "variables": ["a9", "b9", "c9", "d9", "e9", "f9"]}, {"name": "Par(pot+min+mult+pl)", "variables": ["a10", "b10", "c10", "d10", "e10", "f10"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_x", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Når man skal regne ut et matematisk uttrykk, må man være sikker på at man gjør denne utregningen riktig.

\n

Velg ut den korrekte rekkefølgen for utregning, med hensyn på regneregler.

\n

Hint: Noen av regnereglene utføres samtidig

\n

", "minMarks": 0, "maxMarks": "8", "minAnswers": 0, "maxAnswers": "6", "shuffleChoices": false, "shuffleAnswers": false, "displayType": "checkbox", "warningType": "warn", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["1.", "2.", "3.", "4."], "matrix": [["0", "0", "0", "0", "2", "0"], ["0", "0", "0", "0", "0", "2"], ["0", "0", "1", "1", "0", "0"], ["1", "1", "0", "0", "0", "0"]], "layout": {"type": "all", "expression": ""}, "answers": ["Addisjon", "Subtraksjon", "Multiplikasjon", "Divisjon", "Parantes", "Potens"]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Når man kun har én regneart i uttrykket må man også være bevisst på regnerekkefølgen.

\n

Som $2+4+5+2$ , eller $2 \\div 4 \\div 2$ , eller $2 \\cdot 3 \\cdot 4$.

\n

Hvilken rekkefølge må man regne ut slike uttrykk?

", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "dropdownlist", "displayColumns": 0, "showCellAnswerState": false, "choices": ["Fra venstre til høyre", "Fra høyre til venstre", "Rekkefølgen spiller ingen rolle"], "matrix": ["2", "1", "1"], "distractors": ["Dette er korrekt for alle regneoperasjoner", "Dette er kun korrekt n\u00e5r vi ikke har operasjoner som divisjon eller subtraksjon", "Dette er kun korrekt n\u00e5r vi ikke har operasjoner som divisjon eller subtraksjon"]}, {"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Nå skal du få teste ut de ulike regnereglene med ulike tallverdier!

\n

Husk at du skal gjennomføre dette kun med regneark og hoderegning!

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Regn ut

\n

$\\var{a3}+\\var{b3}$

", "minValue": "a3+b3", "maxValue": "a3+b3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut

\n

$\\var{a4}-\\var{b4}$

", "minValue": "a4-b4", "maxValue": "a4-b4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut

\n

$\\var{a1}\\cdot\\var{b1}+\\var{c1}$

", "minValue": "a1*b1+c1", "maxValue": "a1*b1+c1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut

\n

$\\var{a2} - \\var{c2} \\cdot\\var{b2}$

", "minValue": "a2-c2*b2", "maxValue": "a2-c2*b2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut

\n

$\\var{a5} \\div \\var{b5}-\\var{c5}+\\var{d5}\\cdot \\var{e5}$

", "minValue": "a5/b5-c5+d5*e5", "maxValue": "a5/b5-c5+d5*e5", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut

\n

$\\var{a6}+\\var{b6}\\cdot(\\var{c6})$

", "minValue": "a6+b6*c6", "maxValue": "a6+b6*c6", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut

\n

$(\\var{a7}\\cdot\\var{b7}-\\var{c7})^\\var{d7}$

", "minValue": "(a7*b7-c7)^d7", "maxValue": "(a7*b7-c7)^d7", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut

\n

$\\var{a8}\\cdot(\\var{b8}-\\var{c8})+\\var{d8}\\cdot(\\var{c8}-\\var{b8})$

", "minValue": "a8*(b8-c8)+d8*(c8-b8)", "maxValue": "a8*(b8-c8)+d8*(c8-b8)", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut

\n

$\\var{a9}(\\var{b9}^\\var{c9}-\\var{d9}^\\var{e9}\\div\\var{f9})$

", "minValue": "a9*(b9^c9-(d9^e9)/f9)", "maxValue": "a9*(b9^c9-(d9^e9)/f9)", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut

\n

$\\var{a10}^\\var{b10}-\\var{c10}\\cdot(\\var{d10}-\\var{e10})+\\var{f10}$

", "minValue": "a10^b10-c10*(d10-e10)+f10", "maxValue": "a10^b10-c10*(d10-e10)+f10", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Br\u00f8kregning", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": [""], "variable_overrides": [[]], "questions": [{"name": "br\u00f8kregning", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Elias Sandal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/24625/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "

Regn ut brøk-uttrykkene

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"templateType": "anything", "can_override": false}, "d3": {"name": "d3", "group": "Multiplikasjon av br\u00f8k (a/b * c/d)", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "a4": {"name": "a4", "group": "Br\u00f8k delt p\u00e5 tall ( (a/b)/c )", "definition": "random(1..5)", "description": "", "templateType": "anything", "can_override": false}, "b4": {"name": "b4", "group": "Br\u00f8k delt p\u00e5 tall ( (a/b)/c )", "definition": "random(2..5 except a4)", "description": "", "templateType": "anything", "can_override": false}, "c4": {"name": "c4", "group": "Br\u00f8k delt p\u00e5 tall ( (a/b)/c )", "definition": "random(2..4)*random([a4,b4])", "description": "", "templateType": "anything", "can_override": false}, "c5": {"name": "c5", "group": "Br\u00f8k delt p\u00e5 br\u00f8k ( (a/b)/(c/d) )", "definition": "random(2..4)*a5", "description": "", "templateType": "anything", "can_override": false}, "d5": {"name": "d5", "group": "Br\u00f8k delt p\u00e5 br\u00f8k ( (a/b)/(c/d) )", "definition": "random(2..4)*b5", "description": "", "templateType": "anything", "can_override": false}, "b5": {"name": "b5", "group": "Br\u00f8k delt p\u00e5 br\u00f8k ( (a/b)/(c/d) )", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "a5": {"name": "a5", "group": "Br\u00f8k delt p\u00e5 br\u00f8k ( (a/b)/(c/d) )", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "a7": {"name": "a7", "group": "Forkorte br\u00f8k (a/b)", "definition": "random(1..9)*b7", "description": "", "templateType": "anything", "can_override": false}, "b7": {"name": "b7", "group": "Forkorte br\u00f8k (a/b)", "definition": "random(2..7)", "description": "", "templateType": "anything", "can_override": false}, "a6": {"name": "a6", "group": "Forkorte algebraisk br\u00f8k ( (ax+b)/c )", "definition": "random(1..5)*c6", "description": "", "templateType": "anything", "can_override": false}, "b6": {"name": "b6", "group": "Forkorte algebraisk br\u00f8k ( (ax+b)/c )", "definition": "random(1..5 except a6)*c6", "description": "", "templateType": "anything", "can_override": false}, "c6": {"name": "c6", "group": "Forkorte algebraisk br\u00f8k ( (ax+b)/c )", "definition": "random(2..6)", "description": "", "templateType": "anything", "can_override": false}, "a8": {"name": "a8", "group": "Forkorte br\u00f8k med utrykk ( (a+b)/c )", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}, "b8": {"name": "b8", "group": "Forkorte br\u00f8k med utrykk ( (a+b)/c )", "definition": "random(1..10 except a8)", "description": "", "templateType": "anything", "can_override": false}, "c8": {"name": "c8", "group": "Forkorte br\u00f8k med utrykk ( (a+b)/c )", "definition": "random(1..10)*(a8+b8)", "description": "", "templateType": "anything", "can_override": false}, "Svaralternativ": {"name": "Svaralternativ", "group": "Tekstoppgave", "definition": "[\"Legge sammen teller med teller, og ledd med ledd\",\"Finne felles teller f\u00f8r man legger sammen nevnere\",\"Finne felles nevner f\u00f8r man legger sammen tellere\"]", "description": "", "templateType": "anything", "can_override": false}, "svar": {"name": "svar", "group": "Tekstoppgave", "definition": "\"Finne felles nevner f\u00f8r man legger sammen tellere\"", "description": "", "templateType": "anything", "can_override": false}, "a9": {"name": "a9", "group": "Ungrouped variables", "definition": "random(2..10)", "description": "", "templateType": "anything", "can_override": false}, "b9": {"name": "b9", "group": "Ungrouped variables", "definition": "random(2..10)*a9", "description": "", "templateType": "anything", "can_override": false}, "c9": {"name": "c9", "group": "Ungrouped variables", "definition": "random(2..10)", "description": "", "templateType": "anything", "can_override": false}, "d9": {"name": "d9", "group": "Ungrouped variables", "definition": "random(2..10)*c9", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a9", "b9", "c9", "d9"], "variable_groups": [{"name": "Br\u00f8kaddisjon (a/b+c/d)", "variables": ["a1", "b1", "c1", "d1"]}, {"name": "Br\u00f8k subtraksjon (a/b-c/d)", "variables": ["a2", "b2", "c2", "d2"]}, {"name": "Multiplikasjon av br\u00f8k (a/b * c/d)", "variables": ["d3", "b3", "a3", "c3"]}, {"name": "Br\u00f8k delt p\u00e5 tall ( (a/b)/c )", "variables": ["a4", "b4", "c4"]}, {"name": "Br\u00f8k delt p\u00e5 br\u00f8k ( (a/b)/(c/d) )", "variables": ["a5", "b5", "c5", "d5"]}, {"name": "Forkorte algebraisk br\u00f8k ( (ax+b)/c )", "variables": ["c6", "a6", "b6"]}, {"name": "Forkorte br\u00f8k (a/b)", "variables": ["b7", "a7"]}, {"name": "Forkorte br\u00f8k med utrykk ( (a+b)/c )", "variables": ["b8", "c8", "a8"]}, {"name": "Tekstoppgave", "variables": ["Svaralternativ", "svar"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Forkort brøken $\\frac{\\var{a7}}{\\var{b7}}$

", "minValue": "a7/b7", "maxValue": "a7/b7", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Forkort brøken $\\frac{\\var{a8}+\\var{b8}}{\\var{c8}}$

", "minValue": "(a8+b8)/c8", "maxValue": "(a8+b8)/c8", "correctAnswerFraction": false, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [{"variable": "a1", "part": "p0", "must_go_first": false}], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Når man skal addere eller subtrahere to brøker, er det viktig at man husker på å [[0]]. 

", "gaps": [{"type": "1_n_2", "useCustomName": true, "customName": "addere", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": false, "showFeedbackIcon": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": "1", "showCellAnswerState": true, "choices": ["Legge sammen teller med teller, og nevner med nevner: $\\frac{a}{b}+\\frac{c}{d}=\\frac{a+c}{b+d}$", "Finne felles teller før man legger sammen nevnere: $\\frac{a}{b}+\\frac{c}{d}=\\frac{a\\cdot c}{b\\cdot c}+\\frac{c\\cdot a}{d\\cdot a}=\\frac{ac}{bc+da}$", "Finne felles nevner før man legger sammen tellere: $\\frac{a}{b}+\\frac{c}{d}=\\frac{a\\cdot d}{b\\cdot d}+\\frac{c\\cdot b}{d\\cdot b}=\\frac{ad+cb}{bd}$"], "matrix": ["0", 0, "2"], "distractors": ["", "", ""]}], "sortAnswers": false}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut $\\frac{\\var{a1}}{\\var{b1}} + \\frac{\\var{c1}}{\\var{d1}} $

", "minValue": "a1/b1 + c1/d1", "maxValue": "a1/b1 + c1/d1", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut $\\frac{\\var{a2}}{\\var{b2}} - \\frac{\\var{c2}}{\\var{d2}} $

", "minValue": "a2/b2 - c2/d2", "maxValue": "a2/b2 - c2/d2", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Når man skal multiplisere to brøker sammen, er det viktig at man husker på å [[0]]. 

", "gaps": [{"type": "1_n_2", "useCustomName": true, "customName": "multiplisere", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": "1", "showCellAnswerState": true, "choices": ["Multipliserer teller med teller, og nevner med nevner: $\\frac{a}{b}\\cdot\\frac{c}{d}=\\frac{a\\cdot c}{b\\cdot d}$", "Multiplisere teller med andre nevner, og nevner med andre teller: $\\frac{a}{b}\\cdot \\frac{c}{d}=\\frac{a \\cdot d}{b \\cdot c}$", "Summere tellerne og nevnerne: $\\frac{a}{b}\\cdot\\frac{c}{d}=\\frac{a+c}{b+d}$", "Multiplisere teller med teller, og summere nevnerene: $\\frac{a}{b}\\cdot \\frac{c}{d}=\\frac{a \\cdot c}{b + d}$", "Summerer tellere, og multipliserer nevnerene: $\\frac{a}{b}\\cdot \\frac{c}{d}=\\frac{a +c}{b \\cdot d}$"], "matrix": ["2", 0, 0, 0, 0], "distractors": ["", "", "", "", ""]}], "sortAnswers": false}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut $\\frac{\\var{a3}}{\\var{b3}} \\cdot \\frac{\\var{c3}}{\\var{d3}} $

", "minValue": "(a3*c3)/(b3*d3)", "maxValue": "(a3*c3)/(b3*d3)", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut $\\frac{\\var{a9}}{\\var{b9}} \\cdot \\frac{\\var{c9}}{\\var{d9}} $

", "minValue": "(a9*c9)/(b9*d9)", "maxValue": "(a9*c9)/(b9*d9)", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Når man skal dele en brøk på en annen brøk, skal man [[0]].

", "gaps": [{"type": "1_n_2", "useCustomName": true, "customName": "dividere", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": "1", "showCellAnswerState": true, "choices": ["Subtrahere tellerene og nevnerne: $\\frac{a}{b}\\div \\frac{c}{d}=\\frac{a-c}{b-d}$", "Multiplisere teller med andre nevner, og nevner med andre teller: $\\frac{a}{b}\\div \\frac{c}{d}=\\frac{a \\cdot d}{b \\cdot c}=\\frac{a}{b} \\cdot \\frac{d}{c}$", "Multiplisere teller med teller, og nevner med nevner: $\\frac{a}{b}\\div \\frac{c}{d}=\\frac{a \\cdot c}{b \\cdot d}$", "Multiplisere tellerene, og subtrahere nevnerne: $\\frac{a}{b}\\div \\frac{c}{d}=\\frac{a\\cdot c}{b-d}$", "Dividere teller med teller, og nevner med nevner: $\\frac{a}{b}\\div \\frac{c}{d}=\\frac{a\\div c}{b \\div d}$"], "matrix": [0, "2", 0, 0, 0], "distractors": ["", "Vi \"snur\" den siste br\u00f8ken!", "", "", ""]}], "sortAnswers": false}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut $\\frac{\\left(\\frac{\\var{a4}}{\\var{b4}}\\right)}{\\var{c4}} $

", "minValue": "(a4/b4)/c4", "maxValue": "(a4/b4)/c4", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut $\\frac{\\left(\\frac{\\var{a5}}{\\var{b5}}\\right)}{\\left(\\frac{\\var{c5}}{\\var{d5}}\\right)} = \\left(\\frac{\\var{a5}}{\\var{b5}}\\right) \\div \\left(\\frac{\\var{c5}}{\\var{d5}}\\right)$

", "minValue": "(a5/b5)*(d5/c5)", "maxValue": "(a5/b5)*(d5/c5)", "correctAnswerFraction": true, "allowFractions": true, "mustBeReduced": true, "mustBeReducedPC": "50", "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Forkort brøken $\\frac{(\\var{a6}x+ \\var{b6})}{\\var{c6}}$

", "answer": "{a6/c6}*x+ {b6/c6}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": [{"name": "x", "value": ""}]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always"}]}, {"name": "Potenser og kvadratr\u00f8tter", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["potenser"], "variable_overrides": [[]], "questions": [{"name": "potenser", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Elias Sandal", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/24625/"}], "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"b2": {"name": "b2", "group": "a^b", "definition": "random(1..3)", "description": "", "templateType": "anything", "can_override": false}, "a2": {"name": "a2", "group": "a^b", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "a3": {"name": "a3", "group": "a^b_2", "definition": "random(2..5)", "description": "", "templateType": "anything", "can_override": false}, "b3": {"name": "b3", "group": "a^b_2", "definition": "random(-3..3)", "description": "", "templateType": "anything", "can_override": false}, "a4": {"name": "a4", "group": "(a^b)^c", "definition": "random(2..4)", "description": "", "templateType": "anything", "can_override": false}, "b4": {"name": "b4", "group": "(a^b)^c", "definition": "random(1..3)", "description": "", "templateType": "anything", "can_override": false}, "c4": {"name": "c4", "group": "(a^b)^c", "definition": "random(-3..3)", "description": "", "templateType": "anything", "can_override": false}, "a5": {"name": "a5", "group": "c*(a^b)", "definition": "random(2..4)", "description": "", "templateType": "anything", "can_override": false}, "b5": {"name": "b5", "group": "c*(a^b)", "definition": "random(2..3)", "description": "", "templateType": "anything", "can_override": false}, "c5": {"name": "c5", "group": "c*(a^b)", "definition": "random(1..10)", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [{"name": "a^b", "variables": ["a2", "b2"]}, {"name": "a^b_2", "variables": ["a3", "b3"]}, {"name": "(a^b)^c", "variables": ["a4", "b4", "c4"]}, {"name": "c*(a^b)", "variables": ["a5", "b5", "c5"]}], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Røtter kan skrives som potenser, men hvordan?

", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$\\sqrt[n]{x}=x^{n}$", "$\\sqrt[n]{x}=x^{1/n}$", "$\\sqrt[n]{x}=x^{-2\\cdot n}$", "$\\sqrt[n]{x}=x^{n}$", "$\\sqrt[n]{x}=x^{-n}$"], "matrix": ["1", 0, 0, 0, 0], "distractors": ["Vi skriver eksponenten som en br\u00f8k!", "", "", "", ""]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Brøker kan skrives som potenser, men hvordan?

", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$\\frac{a}{b}=a \\cdot b^{-1}$", "$\\frac{a}{b}=1^{a/b}$", "$\\frac{a}{b}=a^{b}$", "$\\frac{a}{b}=a^{-b}$"], "matrix": ["1", 0, 0, 0], "distractors": ["Vi opph\u00f8yer nevneren med -1 !", "", "", ""]}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut potensen

\n

$\\var{a2}^\\var{b2}$

", "minValue": "a2^b2", "maxValue": "a2^b2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut potensen

\n

$\\var{a3}^\\var{b3}$

", "minValue": "a3^b3", "maxValue": "a3^b3", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "

Regn ut potensen

\n

$\\left(\\var{a4}^\\var{b4}\\right)^\\var{c4}$

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Regn ut potensen

\n

$\\var{c5} \\cdot\\var{a5}^\\var{b5}$

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Vi ønsker gjerne å forbedre oss! Så skriv eventuelle tilbakemeldinger du har til denne testen, og send dette på e-post til elias.sandal@ntnu.no

\n

Du kan gjerne gi tilbakemelding om:

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Velkommen til en kartleggingsprøve i grunnleggende matematikk! Denne prøven er ment som en test for deg, til å sjekke om du kan det du trenger av matematikk fra videregående.

\n

Dersom noe av oppgavene er uklar, eller du sliter med dem, så ønsker vi å hjelpe nettopp deg med denne matematikken! Vi har laget et eget opplegg med matematikk, som skal være til ekstra hjelp for dem som ønsker og trenger dette.

\n

\n

Disse oppgavene skal du gjennomføre UTEN kalkulator, men gjerne med kladdeark hvis dere ønsker.

", "end_message": "

Dersom du ikke har fått godkjent denne kartleggingsprøven vil vi anbefale deg å sette deg nærmere inn i de ulike temaene du ble testet ut på!
Dette kan du gjøre ved å gjennomføre eget arbeidsopplegg.

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